Answer: 0.51
Step-by-step explanation:
This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;
p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)
p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))
p = 0.51
Because if X is ten then the equation is complete
Answer:
d) 3/8
Step-by-step explanation:
0, 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 1
Hope this helps!
Answer:
a) 5%
b) 24%
Step-by-step explanation:
a) You buy a game for $40, and the sales tax is $2. What percent of the game price are you paying in sales tax?
Percentage you are paying in sales tax
= Sales tax / Sale price of the game × 100
= $2/$40 × 100
= 5%
b) Your doctor told you to eat 25 grams of fiber each day. You had 6 grams of fiber for breakfast. What percent of the 25 grams of fiber have you eaten so far?
The percent of 25 grams of fiber you have eaten so far =
6 grams/25 grams × 100
= 24%
Answer:
y=3x
Step-by-step explanation:
To put this in slope intercept form, let’s first find the slope
To find slope, use the equation Y2-Y1/X2-X1
When we do this, we get 0-6/0-2
This simplifies out into -6/-2 which is 3
So our slope is 3. Our equation becomes y=3x+b
Now, we find our b
We don’t have to do any solving for this, since we have the point 0,0 listed for us, it goes through the origin and that is our y-intercept or b
So our final equation is y=3x
Hope this helps and have a good day!